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On invariant tori of stochastic systems on a plane

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Ukrainian Mathematical Journal Aims and scope

Abstract

We study invariant tori of stochastic systems of the ltd type on a plane and present conditions for stability of such sets in probability.

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References

  1. V. G. Babchuk and G. L. Kulinich, “On a method of finding invariant sets of stochastic differential equations of the ltd type,”Teor. Ver. Prim.,23, 454 (1978).

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  2. A. M. Samoilenko,Elements of the Mathematical Theory of Multifrequency Oscillations [in Russian] Nauka, Moscow 1987.

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  3. P. Z. Khas’minskii,Stability of Systems of Differential Equations under Stochastic Perturbations of Their Parameters [in Russian] Nauka, Moscow 1969.

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Authors
  1. A. N. Stanzhitskii
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  2. I. N. Kopas’
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Stanzhitskii, A.N., Kopas’, I.N. On invariant tori of stochastic systems on a plane. Ukr Math J 48, 1276–1281 (1996). https://doi.org/10.1007/BF02383873

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  • DOI: https://doi.org/10.1007/BF02383873

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